Vertical vibration of a single pile in transversely isotropic soil with the disturbance of construction

In this study, the vertical vibration of a single pile under construction disturbance in a transversely isotropic soil is examined. The formulation of the soil’s governing equation is based on the constitutive relations of a transversely isotropic medium, with construction-induced radial heterogeneity modelled by segmenting the soil into concentric zones. Subsequently, the shear stress exerted on the pile by the surrounding soil during vibration is calculated by recursively solving the governing equations for these zones. Furthermore, the vertical vibration equation for the viscoelastic pile is derived from the one-dimensional bar model and is solved to obtain an analytical solution for the frequency-domain response at the pile head. This result is then transformed into the time domain using inverse Fourier transformation, leading to a semi-analytical time-domain solution. The model is validated against well-known solutions to check the accuracy. Simultaneously, the investigation unveils novel aspects regarding the impact of soil transverse isotropy on pile vertical vibration characteristics under various pile parameters and construction disturbance scenarios.